122563616 has 48 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 52385280.

The previous prime is 122563583. The next prime is 122563643. The reversal of 122563616 is 616365221.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160676 + ... + 161436.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^122563616 is an apocalyptic number.

122563616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122563616 is an abundant number, since it is smaller than the sum of its proper divisors (153950944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122563616 is an equidigital number, since it uses as much as digits as its factorization.

122563616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1489 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 122563616 is about 11070.8453155123. The cubic root of 122563616 is about 496.7301507868.

The spelling of 122563616 in words is "one hundred twenty-two million, five hundred sixty-three thousand, six hundred sixteen".